22/12/2015, 10:30 — 11:30 — Sala P3.10, Pavilhão de Matemática
Yuri Karlovich, Universidad Autónoma del Estado de Morelos, Cuernavaca, México
Mellin PDO's and the Haseman boundary value problem
A Fredholm theory for Mellin pseudodifferential operators with matrix symbols of limited smoothness is constructed. Applying these results, we study the Haseman boundary value problem with slowly oscillating coefficients and slowly oscillating shifts on Lebesgue spaces over contours composed by logarithmic spirals. A Fredholm criterion and an index formula for the associated singular integral operator with a shift are obtained.
